Recent Advances in Special Functions and Polynomials
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C: Mathematical Analysis".
Deadline for manuscript submissions: 31 January 2027 | Viewed by 138
Special Issue Editor
Special Issue Information
Dear Colleagues,
Symbolic computation plays an important role in the study of many important functions and special values. By constructing noncommutative polynomials and series, based on words using these symbols, one can often discover key properties of these functions and their values in a uniform way. On the other hand, noncommutative polynomials and series can be considered as a generalization of language theory in theoretical computer science. As the algorithms and combinatorics of these polynomials and series are based on those of words, these two fields naturally reinforce each other. They form an ideal framework for developing software based on computer algebra systems with rigor and efficiency. In particular, they allow the symbolic manipulation of several classes of special functions (such as orthogonal polynomials, Eulerian functions, hypergeometric functions, hyperlogarithms, harmonic sums, etc.) and of special values involved in solutions of differential equations.
We invite contributions on the following topics:
- Combinatorial indexing and calculus.
- Ecalle's mould calculus.
- Free lie algebras.
- Hopf algebras and their combinatorics.
- Noncommutative differential equations.
- Special functions (such as orthogonal polynomials, Eulerian functions, hypergeometric functions, hyperlogarithms, harmonic sums, etc.).
- Representative series (Sweedler's duals and their combinatorics).
Prof. Dr. Vincel Hoang Ngoc Minh
Guest Editor
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Keywords
- combinatorics on noncomutative series
- noncommutative symbolic computation
- special functions
- special values
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